Mean, Median, and Mode Quiz

Grade 6 · Math · Quiz

Test your ability to calculate and interpret measures of center from data sets.

Questions

1. Find the mean of: 14, 18, 22, 10, 16.

   1. 16
   2. 17
   3. 18
   4. 15
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   Answer: 16

   (14 + 18 + 22 + 10 + 16) ÷ 5 = 80 ÷ 5 = 16

2. Find the median of: 7, 3, 9, 1, 5.

   1. 3
   2. 5
   3. 7
   4. 9
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   Answer: 5

   Ordered: 1, 3, 5, 7, 9 — the middle value is 5

3. What is the mode of: 4, 6, 4, 8, 6, 4, 9?

   1. 6
   2. 4
   3. 8
   4. 9
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   Answer: 4

   4 appears 3 times, more than any other value

4. A data set has no mode. This means:

   1. All values are equal
   2. All values appear the same number of times
   3. There are no values
   4. The mean and median are equal
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   Answer: All values appear the same number of times

   No mode means no single value occurs more than others — every value appears equally often

5. Find the median of: 10, 20, 30, 40.

   1. 20
   2. 25
   3. 30
   4. 35
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   Answer: 25

   Ordered: 10, 20, 30, 40; two middle values are 20 and 30; (20 + 30) ÷ 2 = 25

6. Scores: 70, 80, 90, 80, 60. An outlier of 10 is added. Which measure changes the most?

   1. Mode
   2. Median
   3. Mean
   4. Range only
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   Answer: Mean

   The mean uses all values so an extreme outlier pulls it significantly; the median barely shifts

7. The median must always be one of the values in the original data set.

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   Answer: False

   When there is an even number of values, the median is the average of the two middle numbers, which may not be in the original set

8. Find the mean of: 6, 6, 6, 6. The mean is ___.

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   Answer: 6

   (6 + 6 + 6 + 6) ÷ 4 = 24 ÷ 4 = 6

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